Nonlinear Spinor Theory in Terms of Vacuum Expectation Values

Abstract

We shall consider in these lectures the system of equations for the vacuum expectation values of certain products of field operators (the n-point-functions) of a nonlinear, cubic spinor theory with the field equation

$$ % MathType!MTEF!2!1!+- % feaagaart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamiramaaBa % aaleaacqaHXoqycqaHYoGyaeqaaOGaeqiYdK3aaSbaaSqaaiabek7a % IbqabaGccqGHRaWkcaWGwbWaaSbaaSqaaiabeg7aHjabek7aIjaacY % cacqqHspqOcqaH0oazaeqaaOGaeqiYdK3aa0baaSqaaiabfk9aHcqa % aiaacQcaaaGccqaHipqEdaWgaaWcbaGaeuO0dekabeaakiabeI8a5n % aaBaaaleaacqaH0oazaeqaaOGaeyypa0JaaGimaaaa!555C! D_{\alpha \beta } \psi _\beta + V_{\alpha \beta ,\Upsilon \delta } \psi _\Upsilon ^* \psi _\Upsilon \psi _\delta = 0 $$

((1))

Lecture given at the V. Internationalen Universitätswochen für Kernphysik, Schladming, 24 February – 9 March 1966.